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Finding the Fourth Proportional to 1,142.42, 1,713.29 and 320.49

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Solution

The fourth proportional to 1,142.42, 1,713.29 and 320.49 is: 480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.42 : 1,713.29 = 320.49 : x
  2. Step 2: Convert to fraction form
    1,142.42/1,713.29 = 320.49/x
  3. Step 3: Cross multiply
    1,142.42x = 1,713.29 × 320.49
  4. Step 4: Simplify right side
    1,142.42x = 549,090.71
  5. Step 5: Solve for x
    x = 549,090.71/1,142.42
  6. Step 6: Final answer
    x = 480.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.